Random walks Consider a random walk on the integers, with transition probs. Pjiji = p Poj-...

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Random walks Consider a random walk on the integers, with transition probs. Pjiji = p Po₁j-₁ = 9=1-p a) Gambler's ruin: For p-4/3, use a computer to estimate PET ≤ 10,000], ie, the probability that you go bankrupt starting with $1, in at most 10000 steps. Please show final your source code, and express your answer as a statistical confidence interval. b) Continuing from part (a): P. Now solve exactly for Pi[T₂ Random walks Consider a random walk on the integers, with transition probs. Pjiji = p Po₁j-₁ = 9=1-p a) Gambler's ruin: For p-4/3, use a computer to estimate PET ≤ 10,000], ie, the probability that you go bankrupt starting with $1, in at most 10000 steps. Please show final your source code, and express your answer as a statistical confidence interval. b) Continuing from part (a): P. Now solve exactly for Pi[T₂

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